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**1.**

A cyclist is attached to a rope which is looped over a pulley (disc of mass 10kg and radius 0.5m). The rope is then

attached to a hanging block of mass 5kg. What force must the cyclist generate such that the block will move with an

acceleration of 2.25 m/s2. Let’s make the assumption that only one wheel of the bicycle is necessary to generate the

force (we can ignore the front wheel) and that all the force will manifest itself in rolling friction. The mass of the

bicycle and the cyclist is 90kg. The surface has a coefficient of static friction of 0.65 and kinetic friction of 0.25.

mass of a wheel is 700g

diameter of a wheel is 622mm

A cyclist is attached to a rope which is looped over a pulley (disc of mass 10kg and radius 0.5m). The rope is then

attached to a hanging block of mass 5kg. What force must the cyclist generate such that the block will move with an

acceleration of 2.25 m/s2. Let’s make the assumption that only one wheel of the bicycle is necessary to generate the

force (we can ignore the front wheel) and that all the force will manifest itself in rolling friction. The mass of the

bicycle and the cyclist is 90kg. The surface has a coefficient of static friction of 0.65 and kinetic friction of 0.25.

mass of a wheel is 700g

diameter of a wheel is 622mm

**2. I am having a difficult time drawing out the FBD for each piece. I know from summing the forces on each piece you can calculate the force the wheel needs to generate .**

**3. I know for the block there is tension in the rope pointing up and mg pointing down. I know the disk is rotating clockwise and that it has some torque. I also know that there is friction on the bike along with the normal force and weight. The FBD of the disk is confusing me along with the problem.**